Greatest Common Factor of 7022/616, 7156/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7022/616, 7156/808

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7022/616,7156/808

Given fractions are 7022/616,7156/808

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7022,7156

Greatest Common Factor of Numerators i.e. GCF of 7022,7156 is 2 .

LCM of Denominators means LCM of 616,808 as per the given fractions.

LCM of 616,808 is 62216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7022,7156

GCF of Fractions 7022/616,7156/808 is 2/62216

2 7022, 7156
3511, 3578

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7022,7156 By Matching Biggest Common Factor Method

Greatest Common Factor of 7022,7156 By Matching Biggest Common Factor Method

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1,2,4,1789,3578,7156

Greatest Common Factor

We found the factors 7022,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,7156 is 2.

Lets's calculate LCM of 616,808

2 616, 808
2 308, 404
2 154, 202
77, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 101 = 62216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62216

Therefore, the GCF of Fractions 7022/616,7156/808 is 2/62216

Least Common Multiple of 616,808 with GCF Formula

Least Common Multiple of 616,808 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 616,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,808) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(616,808) x common factors =8 x 1 = 8

LCM(616,808) = ( 616 × 808 ) / 8

LCM(616,808) = 497728 / 8

LCM(616,808) = 62216


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7022/616, 7156/808

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7022/616, 7156/808?

Answer: GCF of Numerators as per given numbers 7022/616, 7156/808 is

GCF of Numerators i.e. for 7022,7156 is 2

LCM of denominators i.e. for 616,808 is 62216.

Thus, GCF of Fractions is 2/62216.Finally, GCF of Fractions for 7022/616, 7156/808 is 2/62216.